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Finding the Fourth Proportional to 398,084,604.80, 597,126,907.20 and 330,060,156.80

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Solution

The fourth proportional to 398,084,604.80, 597,126,907.20 and 330,060,156.80 is: 495,090,235.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,084,604.80 : 597,126,907.20 = 330,060,156.80 : x
  2. Step 2: Convert to fraction form
    398,084,604.80/597,126,907.20 = 330,060,156.80/x
  3. Step 3: Cross multiply
    398,084,604.80x = 597,126,907.20 × 330,060,156.80
  4. Step 4: Simplify right side
    398,084,604.80x = 197,087,800,619,931,072
  5. Step 5: Solve for x
    x = 197,087,800,619,931,072/398,084,604.80
  6. Step 6: Final answer
    x = 495,090,235.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.